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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （86*4.42+5x）/（86+x） = 4.5 .
Question type: Equation
Solution:Original question:
| ( | 86 | × | 221 50 | + | 5 | x | ) | ÷ | ( | 86 | + | x | ) | = | 9 2 |
| Multiply both sides of the equation by: | ( | 86 | + | x | ) |
| ( | 86 | × | 221 50 | + | 5 | x | ) | = | 9 2 | ( | 86 | + | x | ) |
| 86 | × | 221 50 | + | 5 | x | = | 9 2 | ( | 86 | + | x | ) |
| 86 | × | 221 50 | + | 5 | x | = | 9 2 | × | 86 | + | 9 2 | x |
9503 25 | + | 5 | x | = | 387 | + | 9 2 | x |
Transposition :
| 5 | x | − | 9 2 | x | = | 387 | − | 9503 25 |
Combine the items on the left of the equation:
1 2 | x | = | 387 | − | 9503 25 |
Combine the items on the right of the equation:
1 2 | x | = | 172 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 172 25 | ÷ | 1 2 |
| = | 172 25 | × | 2 |
We obtained :
| x | = | 344 25 |
Convert the result to decimal form :
| x | = | 13.76 |